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Finding the Fourth Proportional to 205,042.32, 282,957.53 and 114,398.35

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Solution

The fourth proportional to 205,042.32, 282,957.53 and 114,398.35 is: 157,869.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,042.32 : 282,957.53 = 114,398.35 : x
  2. Step 2: Convert to fraction form
    205,042.32/282,957.53 = 114,398.35/x
  3. Step 3: Cross multiply
    205,042.32x = 282,957.53 × 114,398.35
  4. Step 4: Simplify right side
    205,042.32x = 32,369,873,272.69
  5. Step 5: Solve for x
    x = 32,369,873,272.69/205,042.32
  6. Step 6: Final answer
    x = 157,869.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.